Solve 12x − 14 = 154

The solution of 12x − 14 = 154 is x = 14.

12x - 14 = 154\ \Rightarrow\ x = 14

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The lines y = 12x − 14 and y = 154 meet at x = 14. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$12x - 14 = 154$
2
Add 14 to both sides:
$12x - 14 + 14 = 154 + 14 \ \Rightarrow\ 12x = 168$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$12\cdot14 - 14 = 168 - 14 = 154 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 14 = 154\ \Rightarrow\ x = 14 \]
\[ 12x - 14 = 154 \]
\[ 12x - 14 + 14 = 154 + 14 \ \Rightarrow\ 12x = 168 \]
\[ \frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14 \]
\[ 12\cdot14 - 14 = 168 - 14 = 154 \checkmark \]

Trying values of x in 12x − 14 = 154

x	12x − 14	Equals 154?
12	130	no
13	142	no
14	154	yes
15	166	no
16	178	no

Questions

What is x in 12x − 14 = 154?

The solution of 12x − 14 = 154 is x = 14.

How do you solve 12x − 14 = 154?

Add 14 to both sides to get 12x = 168, then divide both sides by 12 to get x = 14.

How do I check the answer?

Replace x by 14: 12(14) − 14 = 154, which is 154.

Solve 12x − 14 = 154

How to work it out

Trying values of x in 12x − 14 = 154

Questions

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